Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

277×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
14	1837
13	1584
12	1041
11	630
10	390
9	314
8	258
7	221
6	185
5	131
4	87
3	54
2	35
1	21
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.7b	(* y (/ (- z t) (- z a)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

11.0ms	(+ x (* y (/ (- z t) (- z a))))
17.0ms	(/ (- z t) (- z a))
27.0ms	(* y (/ (- z t) (- z a)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (* y (/ (- z t) (- z a))))
53.0ms	(/ (- z t) (- z a))
83.0ms	(* y (/ (- z t) (- z a)))

simplify788.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	2000
2	1369
1	444
0	165

prune557.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
3.7b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `insert-posit16`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 342

Calls

4 calls:

6.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
18.0ms	(/ (- z a) (- z t))
29.0ms	(/ 1 (/ (- z a) (- z t)))
33.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series777.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
53.0ms	(/ (- z a) (- z t))
153.0ms	(/ 1 (/ (- z a) (- z t)))
445.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify770.0ms

Counts

354 → 354

Iterations

Iter	Nodes
done	2002
1	1082
0	376

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(/ 1 (- z t))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
3.7b	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

2223×	`times-frac`
1367×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
800×	`add-cube-cbrt`
446×	`associate-r`
266×	`distribute-lft-out--` `difference-of-squares`
178×	`associate-/r/`
110×	`add-exp-log`
90×	`div-inv`
88×	`flip3--` `flip--`
68×	`div-exp`
38×	`add-cbrt-cube`
31×	`associate-/r*`
27×	`associate-/l*`
18×	`cbrt-undiv` `rec-exp` `1-exp`
17×	`prod-exp`
10×	`unswap-sqr`
8×	`pow1`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`pow-flip` `inv-pow`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

4 → 1092

Calls

4 calls:

13.0ms	(/ 1 (- z a))
12.0ms	(/ 1 (- z t))
33.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
58.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (- z a))
47.0ms	(/ 1 (- z t))
114.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
143.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

simplify1.3s

Counts

1104 → 1104

Iterations

Iter	Nodes
done	2000
0	1069

prune4.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
11.6b	(* (/ y (- z a)) (- z t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `flip3--` `associate-/r/` `flip--`
3×	`insert-posit16` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 105

Calls

3 calls:

7.0ms	(+ x (* (/ y (- z a)) (- z t)))
12.0ms	(/ y (- z a))
29.0ms	(* (/ y (- z a)) (- z t))

series244.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ x (* (/ y (- z a)) (- z t)))
30.0ms	(/ y (- z a))
123.0ms	(* (/ y (- z a)) (- z t))

simplify881.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	2001
2	1515
1	442
0	169

prune408.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

71.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch116.0ms

Steps

Iters	Range		Point
8	1.297667465286412e-23	6.235985411797372e-20	1.5969460187838342e-22
8	-3.823945249730256e-11	-4.372979365646395e-14	-8.168187031720985e-13

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

936.0ms	8709×	body	80	valid
1.0ms	1×	body	2560	valid